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Ferreira, M. A. M. (2019). LAPLACE transform effectiveness in the M/G/oo queue busy period probabilistic study. In Dagmar Szarková, Daniela Richtáriková, Peter Letavaj (Ed.), 18th Conference on Applied Mathematics proceedings (pp. 304?312). Slovak University of Technology.
M. A. Ferreira, "LAPLACE transform effectiveness in the M/G/oo queue busy period probabilistic study", in 18th Conf. on Applied Mathematics proceedings, Dagmar Szarková, Daniela Richtáriková, Peter Letavaj, Ed., Bratislava, Slovak University of Technology, 2019, pp. 304-312
@inproceedings{ferreira2019_1790029803498,
author = "Ferreira, M. A. M.",
title = "LAPLACE transform effectiveness in the M/G/oo queue busy period probabilistic study",
booktitle = "18th Conference on Applied Mathematics proceedings",
year = "2019",
editor = "Dagmar Szarková, Daniela Richtáriková, Peter Letavaj",
volume = "",
number = "",
series = "",
pages = "304-312",
publisher = "Slovak University of Technology",
address = "Bratislava",
organization = "Slovak University of Technology in Bratislava-Faculty of Mechanical Engineering ",
url = "http://evlm.stuba.sk/APLIMAT/indexe.htm"
}
TY - CPAPER TI - LAPLACE transform effectiveness in the M/G/oo queue busy period probabilistic study T2 - 18th Conference on Applied Mathematics proceedings AU - Ferreira, M. A. M. PY - 2019 SP - 304-312 CY - Bratislava UR - http://evlm.stuba.sk/APLIMAT/indexe.htm AB - The Laplace transform is a widely used tool in the study of probability distributions, often allowing for a probability density functions and distribution functions simpler determination and being a “moments generating function”. In this paper, it is considered a situation not so simple, as it is the case of the M|G|∞ queue busy period length distribution. Attention will also be given the respective tail Laplace transform. Then, in the context of an open queues network, which nodes behave as M|G|∞ queues, the Laplace transform will be used to construct an algorithm to determine the Laplace transform of the global service time length of a customer during their stay on the network distribution. ER -
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